Diameter
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A line that cuts a segment in half is a bisector
a bisecting line ? Diameter ______________ The question needs to be re-thought. Lines do not cut spheres in half, no matter where the line is in the sphere. The simplest thing that can cut a sphere in half would be a plane.
A secant line is a line that cuts a circle in two places.
It is a diameter, the line that cuts the circle in an exact half.It is the diameter and passes through the center of the circle.
A bisector